A mathematical reformulation of Derrida's REM and GREM
D. Ruelle. Comm. Math. Phys., 108 (2):
225--239(1987)
Abstract
The large system limit of the Random Energy Model (REM) and
generalized Random Energy Model (GREM) of Derrida is investigated, and
found to be universal. This permits systematic calculations of relevance in
particular to Parisi's solution of the Sherrington-Kirkpatrick spin-glass model.
%0 Journal Article
%1 MR875300
%A Ruelle, David
%D 1987
%J Comm. Math. Phys.
%K bolthausen-sznitman_coalescent particle_systems random_energy_model spin_glasses
%N 2
%P 225--239
%T A mathematical reformulation of Derrida's REM and GREM
%U http://projecteuclid.org/getRecord?id=euclid.cmp/1104116461
%V 108
%X The large system limit of the Random Energy Model (REM) and
generalized Random Energy Model (GREM) of Derrida is investigated, and
found to be universal. This permits systematic calculations of relevance in
particular to Parisi's solution of the Sherrington-Kirkpatrick spin-glass model.
@article{MR875300,
abstract = {The large system limit of the Random Energy Model (REM) and
generalized Random Energy Model (GREM) of Derrida is investigated, and
found to be universal. This permits systematic calculations of relevance in
particular to Parisi's solution of the Sherrington-Kirkpatrick spin-glass model.
},
added-at = {2013-02-14T18:57:37.000+0100},
author = {Ruelle, David},
biburl = {https://www.bibsonomy.org/bibtex/2f1e9de423c3b62ef6ffbf4b281cd07e9/peter.ralph},
coden = {CMPHAY},
description = {MR: Publications results for "MR Number=(875300)"},
fjournal = {Communications in Mathematical Physics},
interhash = {7a8cf542c951536e2d9e3d294eccdf92},
intrahash = {f1e9de423c3b62ef6ffbf4b281cd07e9},
issn = {0010-3616},
journal = {Comm. Math. Phys.},
keywords = {bolthausen-sznitman_coalescent particle_systems random_energy_model spin_glasses},
mrclass = {82A05 (60K35 82A57)},
mrnumber = {875300 (88b:82016)},
mrreviewer = {Aernout C. D. van Enter},
number = 2,
pages = {225--239},
timestamp = {2013-02-14T18:57:37.000+0100},
title = {A mathematical reformulation of {Derrida}'s {REM} and {GREM}},
url = {http://projecteuclid.org/getRecord?id=euclid.cmp/1104116461},
volume = 108,
year = 1987
}